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Stable Border Bases for Ideals of Numerical Cartesian Sets
Authors:Lili Liu  Zhe Li & Shugong Zhang
Abstract:In this paper, we discuss a special class of sets of bivariate empirical points, namely, numerical cartesian sets. We find that the stable quotient bases for numerical cartesian sets are unique if they exist. Furthermore, the corresponding border bases are the unique stable border bases for the vanishing ideals of numerical cartesian sets.
Keywords:empirical point  numerical cartesian set  vanishing ideal  border base  
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